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LCM of 755, 865, 873, 908

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 755, 865, 873, 908 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 755, 865, 873, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 755,865,873,908

Given numbers are 755,865,873,908

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 755,865,873,908 is 103536420660.

Find LCM of 755,865,873,908 with Prime Factorization


5 755, 865, 873, 908
151, 173, 873, 908

Multiply the prime numbers at the bottom and the left side.

5 x 151 x 173 x 873 x 908 = 103536420660

Therefore, the lowest common multiple of 755,865,873,908 is 103536420660.

LCM Formula to Find Lowest Common Multiple of 755,865,873,908

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

755 x 865 x 873 x 908 = 517682103300

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

755 : 1, 5, 151, 755

865 : 1, 5, 173, 865

873 : 1, 3, 9, 97, 291, 873

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,865,873,908, is 1.

Now, the common factors can be found like this.

755:5x 151

865:5x 173

873:3x 3x 97

908:2x 2x 227

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 517682103300/(1x5)

LCM = 517682103300/5

LCM = 103536420660

Thus, we can understand that the LCM of 755,865,873,908 is 103536420660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 755, 865, 873, 908

1. What is the LCM of 755, 865, 873, 908?

Answer: LCM of 755, 865, 873, 908 is 103536420660.

2. How to calculate the LCM of 755, 865, 873, 908?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 755, 865, 873, 908.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.